If A -1-2-3-4-5-6-7-8- B -1-3-5-6-7-8-9 then n A - B - B - A is equal toA- 16B- 18- 9D- 12

The correct option is C 9A= {1,2,3,4,5,6,7,8}, B={1,3,5,6,7,8,9} ⇒ A B={2,4}, B A={9} ⇒ nbsp;A ∆ B=B nbsp;∆ A= (A – B) ∪ (B – A) = {2,4,9} ∴ n( (A Δ B)×(B ...

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Standard XII

Mathematics

Cartesian Product

If A =1,2,3,4...

Question

If $A = {1, 2, 3, 4, 5, 6, 7, 8}, B = {1, 3, 5, 6, 7, 8, 9}$ then $n ((A Δ B) \times (B Δ A))$ is equal to

16

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Solution

The correct option is C $9$
$A = {1, 2, 3, 4, 5, 6, 7, 8}, B = {1, 3, 5, 6, 7, 8, 9}$
$\Rightarrow A - B = {2, 4}, B - A = {9}$
$\Rightarrow A Δ B = B Δ A = (A - B) \cup (B - A) = {2, 4, 9}$
$∴ n ((A Δ B) \times (B Δ A)) = 3^{2} = 9$

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If A={1,2,3,4,5,6,7,8},B={1,3,5,6,7,8,9} then n((AΔB)×(BΔA)) is equal to

The correct option is C 9A={1,2,3,4,5,6,7,8},B={1,3,5,6,7,8,9} ⇒A−B={2,4},B−A={9} ⇒AΔB=BΔA=(A–B)∪(B–A)={2,4,9} ∴n((AΔB)×(BΔA))=32=9

If $A = {1, 2, 3, 4, 5, 6, 7, 8}, B = {1, 3, 5, 6, 7, 8, 9}$ then $n ((A Δ B) \times (B Δ A))$ is equal to

The correct option is C $9$
$A = {1, 2, 3, 4, 5, 6, 7, 8}, B = {1, 3, 5, 6, 7, 8, 9}$
$\Rightarrow A - B = {2, 4}, B - A = {9}$
$\Rightarrow A Δ B = B Δ A = (A - B) \cup (B - A) = {2, 4, 9}$
$∴ n ((A Δ B) \times (B Δ A)) = 3^{2} = 9$